Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
416 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14521332 | C2 | direct (N × H) |
| 31. C2×Q8×C31 | Q8 | semidirect |
| 60. Q8×C31 | C2×Q8 | semidirect |
| 102. C2×C31 | #475 | semidirect |
| 126. C31 | C2×#475 | semidirect |
| 131. C2×Q8 | Dic62 | semidirect |
| 159. Q8 | C2×Dic62 | semidirect |
| 191. C2 | #14521332 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758465 | 2 |
| C2×Q8×Dic31 | 2 |
| #14521332 | 2 |
| C2×#11758405 | 2 |
| C2×#11758396 | 2 |
| C2×Dic31⋊C8 | 2 |
| C2×#11758423 | 2 |
| C2×C31×#103 | 2 |
| C2×#475 | 31 |